Home
Class 11
PHYSICS
The sum of two vectors A and B is at rig...

The sum of two vectors A and B is at right angles to their difference. Then

A

A=B

B

A=2B

C

B=2A

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

(a) R.S=(A+B)(A-B)
`=A.A-A.B+B.A-B.B`
`or0=A^(2)-B^(2) (as A.B=B.A)`
`therefore A^(2)=B^(2)or A=B`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    DC PANDEY|Exercise Exercise|13 Videos
  • CALORIMETRY & HEAT TRANSFER

    DC PANDEY|Exercise Level 2 Subjective|14 Videos

Similar Questions

Explore conceptually related problems

The sum of two vectors vec A and vec B is at right angles to their difference. This is possible if

The resultant of two vector A and B is at right angles to A and its magnitude is half of B. Find the angle between A and B.

Two vector vecA and vecB are at right angles to each other, when

Two vectors vec(A)and vec(B) are at right angles to each other then

The vector sum of two vectors vecA and vecB is maximum , then the angle theta between two vector is

The magnitude of the sum of two vectors is equal to the difference in their magnitudes. What is the angle between vectors?

The sum of two angles of a triangle is 80^(@) and their difference is 20^(@). Find all the angles.

The sum of two angles of a triangle is 80^(@) and their difference is 20^(@). Find all the angles.

The value of the sum of two vectors vecA and vecB with theta as the angle between them is